Aitken-Steffensen-type methods for nonsmooth functions (I)

Abstract

We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming the differentiability of \(f\)) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solution of the considered equation.

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Keywords

nonlinear equations in R; Aitken-Steffensen method.

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Cite this paper as:

I. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numér. Théor. Approx., 31 (2002) no. 1, pp. 109-114.

Print ISSN

1222-9024

Online ISSN

2457-8126

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